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4024/11 Oct/Nov 2021, Question 12: Simultaneous Equations by Elimination

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Solve the simultaneous equations 2x − y = 12 and 7x + 3y = 29, showing all working.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 3 marks

  1. 1From 2x − y = 12: y = 2x − 12
  2. 27x + 3(2x − 12) = 29
  3. 313x − 36 = 29, so 13x = 65, x = 5
  4. 4y = 2 × 5 − 12 = −2
  5. 5x = 5, y = −2

Answerx = 5, y = −2

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Also searched as: 4024/11/O/N/21 · 4024_w21_qp_11 · 4024 w21 11 · question 12.
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